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Finding the Fourth Proportional to 173.95, 260.25 and 137.50

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Solution

The fourth proportional to 173.95, 260.25 and 137.50 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.95 : 260.25 = 137.50 : x
  2. Step 2: Convert to fraction form
    173.95/260.25 = 137.50/x
  3. Step 3: Cross multiply
    173.95x = 260.25 × 137.50
  4. Step 4: Simplify right side
    173.95x = 35,784.38
  5. Step 5: Solve for x
    x = 35,784.38/173.95
  6. Step 6: Final answer
    x = 205.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.